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Q: Use spherical coordinates to evaluate the integral z dV where E is the region in the first octant gi...

A: Given the integral ∫∫∫EzdV where E is the region in the first octant given by 1≤x2+y2+z2≤4

Q: 6. Find the number of ways a class of 140 students be partitioned into 5 discussion sessions S1, S2....

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous expo...

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Q: Needed to be solve correctly in 10 minutes only please solve in 10 minutes and get thumbs up please ...

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Q: Calculate the minimum value of: fx) = x,' + x,° +x, subjected to the following constraints: 2x, +x, ...

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Q: Solve the following differential equation around the point x=0 by the power series method (y^2-1)x"+...

A: Solution:-

Q: c) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, ...

A: Q5. (c) Simple graph : A simple graph G is a graph that does not have more than one edge between any...

Q: The equation -2y" + 7y = 3e* - 2 sin x is a second order linear ordinary differential equation. Sele...

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Q: Find the stationary points and the values of the Lagrange multipliers for the following problem. (i)...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Probelm 10 Show that V{(x) = | v²f(x+ r(y – x))(y – x) dr. %3D Show all your work pls.(readable writ...

A: We will use the basic knowledge of integral calculus and vector calculus to answer this question.

Q: Q3 SHORT ANSWER QUESTIONS. No justification needed. Consider the Hasse diagram of the following part...

A: On the top of your question post, you have explicitly mentioned the following: "please send handwrit...

Q: Activity 1. Find the value of x. 1. 2. 5. 12 to x+3 3x +4 Зх + 2 5x Зх + 10 x + 10 20 E 20 r+5 3. to

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Q: Solve for the value of n: P(16, 4) = 208 · P(n, 2)

A: Solution 

Q: Evaluate: – 4 + P(7,4)

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Q: An auditorium has rows of seats that increase in length the farther the row is from the stage. The f...

A: Given, an auditorium has rows of seats that increase in length the farther the row is from the stage...

Q: For what value of 'x', the expression x2 - 7x + 10, is negative? A) 2 > x > 5 B) –3 < x < 7 C) 2 <x ...

A: The negative numbers are less than 0. If a number, y is negative, then it can be written that: y&lt;...

Q: (a) Find the Taylor series expansion for f(x) =: (b) Using the Taylor series found in part (a), find...

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Q: = u+y24 by Ucx, I) = 3x Ans./ uLx, y) = 3x*y

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Q: The level curve of the surface f(x,y) = x² + y2 + 4x -10y + 28 corresponding to c is a circle of rad...

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Q: Q3) Find the limit for the following function by using L'Hopital's rule: x- sin x lim x3

A: We have to find the limx→0x−sinxx3 by using L'Hospital's rule. L'Hospital's rule is defined an follo...

Q: COMBINATIONS Evaluate each expression. 1. C(22,20) 2. C(12,8) 3. C(24,5) 4. C(20,16) C(20,5) 5.

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Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: Given that y, (x) = x is a solution of the differential equation x?y" - xy' + y 0. If we use the red...

A: We have given differential equation, x2y'' - xy' + y = 0 Let , y1(x) = x is a solution of differenti...

Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first, seco...

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Q: The flow F of a certain liquid in a thin pipe is given by F = k P R4, where R is the radius of pipe,...

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Q: 1. Find basis of Span

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Q: Q5) Choose the correct answer for the followings: i) S, x dy ,c is y = x from point (0,0)to point (1...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Evaluate |⊂(R)| if R={n: n is a factor of 500}

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Q: 2. Consider the second-order homogeneous recurrence relation an -7an-1+12an-2 = 0 with initial condi...

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Q: a) State the number of edges in the complete graph Kg, where each pair of distinct vertices is adjac...

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Q: Hi W. Solne : du 니 メ Uco,y) = 3ē_ = 34 ニ e | dy Xープ Ans./ ucx,y) = 3 e (2x-5y) 131

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Q: Selecting classroom officers for president, vice president, treasurer. Combination Permutation

A: We use permutation when order of selection matters and combination when order of selection doesn't m...

Q: What is the general solution to the differential equation (2xy – e")dx + x(x – e')dy = 0 ? 2y – x2 +...

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Q: Q4 Let f : R → R be the function defined by 1 f(a) = 2" %3D a) Is f is one-to-one? If yes, then expl...

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Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy...

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Q: Set up the linear programming problem. Do not attempt to solve it. George eats a meal of steak, pota...

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Q: State whether the following are true or false. If it is true then you must prove the result. If it i...

A: Note: according to our guidelines we can answer only first question  

Q: 3. Use Gauss' theorem to evaluate IL (* + y + 2) do, where E is the surface of the ball x? + y? + z²...

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Q: a) Is f is one-to-one? If yes, then explain why. If not, then provide a counterexample. b) Is f onto...

A: This is a problem of set/function.

Q: c) For a set X = {1,2,3, 4, 5}, let P be the partition {{1,3, 4}, {2}, {5}}. In the equivalence rela...

A: Q1(c) asked and answered.

Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

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Q: Given: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY

A: Introduction: If the hypotenuse and one leg of a right-angle triangle are equal to the corresponding...

Q: Use induction to prove Vn > 1: 3| (n³ + 2n).

A: Proof :-

Q: Forming a committee of 5 from 15 members of a club. Combination

A: The word Combination is used when there is  any importance of order in selection. The word Permutati...

Q: -dz < 2re?. z + 1 Jェ-1|=1

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Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do ...

A: Solution

Q: 3. Consider the expansion of (x + 2)°. a. Write the full expansion using the binomial theorem. b. Fi...

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Q: - Find the number of non negative solutions to x + y + z = 21.

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Q: 1. A company produces two colors of cloth, namely red and pink. In order to produce these colors, 2 ...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: —6х Find the Taylor Series for the function f(x) = e6* centered at x = 0. f(x) = 2n- Guide: This is ...

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